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Finding the Fourth Proportional to 1,606.56, 2,409.84 and 838.56

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Solution

The fourth proportional to 1,606.56, 2,409.84 and 838.56 is: 1,257.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.56 : 2,409.84 = 838.56 : x
  2. Step 2: Convert to fraction form
    1,606.56/2,409.84 = 838.56/x
  3. Step 3: Cross multiply
    1,606.56x = 2,409.84 × 838.56
  4. Step 4: Simplify right side
    1,606.56x = 2,020,795.43
  5. Step 5: Solve for x
    x = 2,020,795.43/1,606.56
  6. Step 6: Final answer
    x = 1,257.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.